Mathematical Research Letters

Volume 19 (2012)

Number 5

Connectivity of tropicalizations

Pages: 1089 – 1095



Dustin Cartwright (Department of Mathematics, Yale University)

Sam Payne (Department of Mathematics, Yale University)


We show that the tropicalization of an irreducible variety over a complete or algebraically closed valued field is connected through codimension 1, giving an affirmative answer in all characteristics to a question posed by Einsiedler, Lind, and Thomas in 2003.

Published 15 March 2013